Scientific Papers volume 2

Cover Scientific Papers volume 2
Scientific Papers volume 2
John William Strutt Rayleigh
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(11) Dr Matthiessen's results agree pretty well with (11), much better in fact than with the formula proposed by himself.
There is another point of some interest on which the views expressed by Matthiessen call for correction. It was observed by Lissajous some years * [Art. 97, vol. Ii. P. 190. ] t Phil. Mag. Nov. 1871.
L RESTING UFOST A YIBRATIXG STPFOBT. 219 ago, that if two vibrating tuning-folks of slightly different pitch are made to touch the surface of water, the nearly stationary wares
...formed midway between the sources of disturbance travel slowly towards the graver. We may take as the expression for the two progressive waves cos (kx itf ) + cos (Ir'j- + m't), or, which is the same, 2 cue j[4 ( + *)* + 4 (*-)'} x cos {(#- l^. R -I- (X + )*). The potation at any time of the crests of the nearly stationary waves is given bv here m is an integer. The velocity of displacement V is thus ............................... ' from which it appears that in every case the shirting is in the direction of propagation of waves of higher pitch, or towards the source of graver pitoh.

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